Respuesta :

Alyssa7082
1)First off, write a equation of the scenario above.

* Max also has to pay 75 cents per mile. Since we’re talking about money, convert that to 0.75. Per mile, let m represent the number of miles Max drives. So we have 0.75m.


*The daily price has a flat fee of $60. Take the first part if the equation, 0.75m and now add 60 to it since every time Mac rents a truck, he needs to pay 60 dollars first.


ANSWER:So the equation would come out as y=0.75m +60.


2)Now the question asks how much Max will have to pay for 20 miles. Substitute the 20 as m.

y= 0.75 (20) +60
15 +60
y= $75
ANSWER:For 20 miles he will pay 75 dollars




Now for 30 miles, substitute 30 for m.

y= 0.75(30) +60
22.5 +60
y= 82.5
ANSWER:For 30 miles he will pay $82.50.



3)to graph the data, first label your axes. For the horizontal line write x (after 90) and for the vertical line, at the very top of the line write y. First, graph the y-intercept which is (0,60) because when you substitute m as 0 into the equation, y =60. Then plot (20, 75) and (30, 82.5) from the answers you got on 2).

Note: x coordinate for graph is m for usually x in most classes and y is what we just solve for on section 2).

jcherry99

Remark

I'm going to get the graph for this first. The easiest and best tool for this sort of thing is Desmos. The graph will tell you which points to plot.

Formula Development

You start out with the cost being 60 dollars. He ALWAYS has to pay this. Then for every mile he drives, it costs 0.75 dollars (75 cents). So the y axis is the total amount of money he has to pay, and the x axis is what he pays per mile. The y intercept is 60, and the x function is 0.75x

y = 0.75x + 60

Solution

If you set up a table using the graph, you could see 5 points clearly.

x               y

0              60

20            75

40            90

60            105

80             120

===========================

35

y = 0.75x + 60

y = 0.75*35 + 60

y = 22.5 + 60

y = 82.5

20 is on my chart.

Just plot these points (on a separate sheet of paper and use a ruler). Just follow the even spacing of the graph enclosed.



Ver imagen jcherry99